Repelling Dynamics Near a Bykov Cycle

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Alexandre A P Rodrigues (Author) FCUP

Journal

Title: Journal of Dynamics and Differential Equations

Vol. 25

Pages: 605-625

ISSN: 1040-7294

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 3 Citations

Other information

Authenticus ID: P-006-7SQ

DOI: 10.1007/s10884-013-9289-2

Abstract (EN): What set does an experimenter see while he simulating numerically the dynamics near a Bykov cycle? In this paper, we discuss the fate of typical trajectories near a Bykov cycle for a -vector field and we establish that despite the existence of shift dynamics (chaos) nearby, Lebesgue-almost all trajectories starting in a small neighbourhood of a Bykov cycle are repelled.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21